STINNER Victor added the comment:

> > P.P.S.: Just a random idea: would it be a to rewrite PyLong to use GMP 
> > instead as a PyVarObject of mp_limb_t's?
> I'll let Victor answer that one. :-)  In the mean time, see issue 1814.

During the development of Python 3.0, I wrote a large patch to reuse directly 
GMP for Python int. My conclusion is here:
http://bugs.python.org/issue1814#msg77018
(hint: "it's not a good idea")

IMO the first problem is the memory allocation. GMP type doesn't fit well with 
Python type. GMP type for "int" has a fixed size, and then GMP allocates a 
second structure for digits. It's inefficient for small integers, and almost 
all Python int are small (smaller than 32 or 64 bits).

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